含可调参数的保单调有理样条插值  

Rational Spline Interpolation with Adjustable Parameters and the Monotonicity Preserved

作　　者：刘永春[1] 王强[1] 彭丰斌[1] 

机构地区：[1]安徽理工大学理学院,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2014年第2期75-78,共4页Journal of Anhui University of Science and Technology:Natural Science

摘　　要：为了使有理插值样条在计算机图形和CAD领域有更灵活的应用,构造了带有可调参数的的二次有理样条函数(2/2型),并给出了详细的构造方法。该函数可通过选取适当的形状参数使得曲线具有保形性。可以通过调整参数交互式的修改插值曲线的形状,以得到满意的曲线,并证明了此类插值函数的保单调性和给出了其误差分析。最后通过数据实例,说明了它较稳定和保单调的特点。In order to more flexibly use rational interpolating in computer graphics and CAD fields , quadratic in-terpolating spline function with adjustable parameters （2/2） was constructed and the process of constructing was described in detail .In the function curve can be with shape retention by selecting the advisable shape parame-ters.The shape of interpolation curve can be modified by adjusting parameters , to obtain satisfied curve , the monotonicity preserving of this kind of interpolating function is proved and the error analysis is presented .Finally its characteristics of more stable and monotonicity preserving are illustrated through data examples .

关 键 词：有理样条 参数 保单调 

分 类 号：O241.5[理学—计算数学]